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Finding the Fourth Proportional to 8,555.50, 12,822.72 and 6,076.90

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Solution

The fourth proportional to 8,555.50, 12,822.72 and 6,076.90 is: 9,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555.50 : 12,822.72 = 6,076.90 : x
  2. Step 2: Convert to fraction form
    8,555.50/12,822.72 = 6,076.90/x
  3. Step 3: Cross multiply
    8,555.50x = 12,822.72 × 6,076.90
  4. Step 4: Simplify right side
    8,555.50x = 77,922,387.17
  5. Step 5: Solve for x
    x = 77,922,387.17/8,555.50
  6. Step 6: Final answer
    x = 9,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.